Results 101 to 110 of about 709,548 (225)
, 2022 In this paper, we say a ring $R$ is Nil$_{\ast}$-Noetherian provided that any nil ideal is finitely generated. First, we show that the Hilbert basis theorem holds for Nil$_{\ast}$-Noetherian rings, that is, $R$ is Nil$_{\ast}$-Noetherian if and only if ...
Zhang, Xiaolei
core
The Noetherian property for quotient rings of infinite polynomial rings
, 1979 Let X be an infinite set of indeterminates over the commutative Noetherian ring R with identity. We prove that the quotient ring of R [ X ] R[X] with respect to the multiplicative system of polynomials of ...
William Heinzer, Robert Gilmer
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Flat local morphisms of rings with prescribed depth and dimension
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 For any pairs of integers (n,m) and (d, e) such that 0 ≤ n ≤ m, 0 ≤ d _ e, d ≤ n, e ≤ m and n -d ≤ m - e we construct a local flat ring morphism of noetherian local rings u : A → B such that dim(A) = n; depth(A) = d; dim(B) = m and depth(B) = e.
Ionescu Cristodor
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On flat extensions of Noetherian rings [PDF]
Proceedings of the American Mathematical Society, 1965 In this note a ring will always mean a commutative, Noetherian ring with a unit. Let (B, p) be a flat extension of the ring A (i.e. B a ring and p a ring-homomorphism of A in B such that B regarded as A-module is flat), M a finitely generated A-module and N a submodule of M.
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Filtrations and Noetherian symbolic blow-up rings
, 1988 For a one-dimensional prime ideal in a local Noetherian ring it is characterized when the symbolic blow-up ring is an algebra of finite type. More generally, for a filtration of ideals of a local Noetherian ring there is a necessary and sufficient ...
Peter Schenzel
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On the arithmetic of stable domains. [PDF]
Commun Algebra, 2021 Bashir A, Geroldinger A, Reinhart A.
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A remark on the first neighbourhood ring of a Noetherian Cohen-Macaulay local ring of dimension one
, 1976 There is an isomorphism between the first neighbourhood ring of a noetherian Cohen-Macaulay local ring A A of dimension one and the ring of endomorphisms of a large power of its maximal ideal.
T. Doussouki
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Subrings of I-rings and S-rings
International Journal of Mathematics and Mathematical Sciences, 1997 Let R be a non-commutative associative ring with unity 1≠0, a left R-module is said to satisfy property (I) (resp. (S)) if every injective (resp. surjective) endomorphism of M is an automorphism of M.
Mamadou Sanghare
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Integer-valued polynomials on valuation rings of global fields with prescribed lengths of factorizations. [PDF]
Mon Hefte Math, 2023 Fadinger-Held V, Frisch S, Windisch D.
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